Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) isy=(1/3)*x+15Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line
y=(1/3)*x+15then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) isthe point does not belong to the given line
see the attached figure
Answer:
Perimeter = 10x-2
Area = 6x²-x-2
Step-by-step explanation:
Perimeter=2L+2W
2(3x-2)+2(2x+1)
6x-4+4x+2
10x-2
Area=LW
(3x-2)(2x+1)
6x²+3x-4x-2
6x²-x-2
Answer:
B
Step-by-step explanation:
since y and x vary directly the equation relating them is
y = kx ← k is the constant of variation
to find k use any ordered pair from the list given
using x = 4 when y = - 2, then
k =
=
= - 0.5 → B
Answer:
Actual height of the building is 37.5 feet
Step-by-step explanation:
Formula to be used to get the actual length of the building,
Scale used =
= 
By this formula,

Actual height of the building = 1.25 × 30
= 37.5 feet
Therefore, actual height of the building will be 37.5 feet.